Flashcard - Co-terminal Angles

Front

What are co-terminal angles?

Back

Co-terminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360° (for positive angles) or 360° (for negative angles).

Front

How do you find co-terminal angles for a given angle?

Back

To find co-terminal angles, add or subtract 360° (or 2π radians) to the given angle. For example, for 450°, co-terminal angles can be found by calculating 450° - 360° = 90° and 450° + 360° = 810°.

Front

Which angles are co-terminal to 450°?

Back

90°, -270° are co-terminal with 450°.

Front

Which angles are co-terminal to -35°?

Back

325°, -395° are co-terminal with -35°.

Front

Which angles are co-terminal to 330°?

Back

690°, -30° are co-terminal with 330°.

Front

In which direction are negative angles measured from standard position?

Back

Negative angles are measured clockwise from the positive x-axis.

Front

What is the standard position of an angle?

Back

The standard position of an angle is when its initial side is on the positive x-axis.

Front

What is the relationship between co-terminal angles and the unit circle?

Back

Co-terminal angles correspond to the same point on the unit circle, meaning they have the same sine and cosine values.

Front

If an angle is 720°, what is a co-terminal angle?

Back

A co-terminal angle for 720° is 0° (720° - 720° = 0°).

Front

What is the formula to find co-terminal angles in radians?

Back

To find co-terminal angles in radians, add or subtract 2π. For example, for π/3, co-terminal angles can be found by calculating π/3 + 2π = 7π/3.